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41513499006 = 23741173331421
BaseRepresentation
bin100110101010011001…
…011011100101111110
310222011010222020211020
4212222121123211332
51140004423432011
631023202205010
72666512630230
oct465231334576
9128133866736
1041513499006
1116673319271
128066953766
133bb77bcbc5
14201b5c6250
15112e7eb006
hex9aa65b97e

41513499006 has 128 divisors (see below), whose sum is σ = 98292483072. Its totient is φ = 11442816000.

The previous prime is 41513498941. The next prime is 41513499007. The reversal of 41513499006 is 60099431514.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41513499007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98606676 + ... + 98607096.

It is an arithmetic number, because the mean of its divisors is an integer number (767910024).

Almost surely, 241513499006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41513499006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49146241536).

41513499006 is an abundant number, since it is smaller than the sum of its proper divisors (56778984066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41513499006 is a wasteful number, since it uses less digits than its factorization.

41513499006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978.

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 41513499006 in words is "forty-one billion, five hundred thirteen million, four hundred ninety-nine thousand, six".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 173 246 287 331 346 421 519 574 662 842 861 993 1038 1211 1263 1722 1986 2317 2422 2526 2947 3633 4634 5894 6951 7093 7266 8841 13571 13902 14186 17261 17682 21279 27142 34522 40713 42558 49651 51783 57263 72833 81426 94997 99302 103566 114526 120827 139351 145666 148953 171789 189994 218499 241654 278702 284991 297906 343578 362481 400841 418053 436998 509831 569982 724962 801682 836106 975457 1019662 1202523 1529493 1950914 2347783 2405046 2926371 2986153 3058986 4695566 5713391 5852742 5972306 7043349 8958459 11426782 14086698 16434481 17140173 17916918 20903071 24107723 32868962 34280346 39993737 41806142 48215446 49303443 62709213 72323169 79987474 98606886 119981211 125418426 144646338 168754061 239962422 337508122 506262183 988416643 1012524366 1976833286 2965249929 5930499858 6918916501 13837833002 20756749503 41513499006